Maths Exam

1. Simplify 1

Simplify the following expression: $$ \left(-3 + -5\right)\left(-4 + 4\right) - {\left(4 + 1\right)}^{2} $$
Correct Answer
$$ -25$$ or -25.0000

2. Simplify 2

Simplify the following expression: $$ \frac{-3}{-5} - -3\times3 + {\left(\frac{-2}{2}\right)}^{2} $$
Correct Answer
$$ \frac{53}{5}$$ or 10.6000

3. Fractions 1

Simplify the following expression: $$ \frac{3}{2} + \frac{3}{6} $$
Correct Answer
$$ 2$$ or 2.0

4. Fractions 2

Simplify the following expression: $$ \frac{5}{2}\frac{3}{4} $$
Correct Answer
$$ \frac{15}{8}$$ or 1.875

5. Significant figures

1. Write the following to 2 significant figures: 1.4964458
Correct Answer
1.5 or $$1.5\times10^{0}$$
2. Write the following to 4 significant figures: 17.214793
Correct Answer
17.21 or $$1.721\times10^{1}$$

6. Standard Form

1. Write the following in standard form to 5 significant digits: 0.000123079
Correct Answer
$$1.2308\times10^{-4}$$
2. Write the following in standard form to 2 significant digits: 275.512
Correct Answer
$$2.8\times10^{2}$$

7. Significant figures

1. Write the following in preferred standard form to 2 significant digits: 122400
Correct Answer
$$120\times10^{3}$$
2. Write the following in preferred standard form to 4 significant digits: 0.0000000766827
Correct Answer
$$76.68\times10^{-9}$$

8. Simplify 2

Simplify the following expression: $$ \frac{-4(-5) - \frac{-1}{-4}}{2\frac{3}{-6}} $$
Correct Answer
$$ \frac{-79}{4}$$ or -19.7500

9. Simplify 1

Simplify the following expression: $$ {\left(-2 - -4\right)}^{2} + \left(-6 - 1\right)\left(6 + -2\right) $$
Correct Answer
$$ -24$$ or -24.0000

10. Simplify 2

Simplify the following expression: $$ \left(4 - 3\right){(-2)}^{-2} + {\left(\frac{-3}{-2}\right)}^{2} $$
Correct Answer
$$ \frac{5}{2}$$ or 2.50000


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